Solve 4(4x^3)^2 2 -11=25

Evaluate

4 (4 x^{3})^{2} \times 2 - 11 = 25

Multiply

More Steps

128 x^{6} - 11 = 25

Move the constant to the right-hand side and change its sign

128 x^{6} = 25 + 11

Add the numbers

128 x^{6} = 36

Divide both sides

\frac{128 x ^{6}}{128} = \frac{36}{128}

Divide the numbers

x^{6} = \frac{36}{128}

Cancel out the common factor 4

x^{6} = \frac{9}{32}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{9}{32}

Simplify the expression

More Steps

x = \pm \frac{6 18}{2}

Separate the equation into 2 possible cases

x = \frac{6 18}{2} x = - \frac{6 18}{2}

Solution

x_{1} = - \frac{6 18}{2}, x_{2} = \frac{6 18}{2}

Alternative Form

x_{1} \approx - 0.809435, x_{2} \approx 0.809435

Solve the equation